Literature Index

Displaying 1691 - 1700 of 3326
  • Author(s):
    Beyth-Marom, R.
    Year:
    1982
    Abstract:
    Almost all studies of adult notions of correlation between dichotomous variables show that people do not incorporate two conditional probabilities as they should according to normative definitions. However, these studies disagree considerably about what correlational notions people do have. This paper identifies three factors that contribute to the variability in research results. The first two factors were mentioned in the literature, and the evidence concerning them is summarized: (1) the way data are presented and (2) the instructions subjects receive. A third factor is suggested and studied; the type of variables between which correlation is judged may affect subjects' notion of correlation. Specifically, asymmetric, present/absent variables (e.g., symptom: present, absent) may strengthen the incorrect notion of correlation as the tendency of two events to coexist (e.g., presence of symptom and presence of disease) disregarding the complementary events. In three experiments, subjects were asked to choose among five interpretations of the sentence "A strong (or no) relationship exists between (two variables)." The above prediction was confirmed.
  • Author(s):
    Truran, K. & Ritson, R.
    Year:
    1997
    Abstract:
    This paper reports some findings from two independent studies, one in Northern Ireland and one in South Australia, into young children's understanding of the behaviour of unfamiliar Random Generators (RGs). Our findings indicate that probability understanding is often influenced by the physical properties or appearance of RGs. Sometimes it is their physical arrangement in a container that influences responses. Teaching of the topic depends on teachers being aware of what these misconceptions are before planning for teaching.
  • Author(s):
    Seipel, S. J.
    Editors:
    Stephenson, W. R.
    Year:
    2005
    Abstract:
    Previous research has linked perfectionism to anxiety in the statistics classroom and academic performance in general. This article investigates the impact of the individual components of perfectionism on academic performance of students in the statistics classroom. The results of this research show a clear positive relationship between a studentÅfs personal standards and academic performance consistent with the literature. Surprisingly, the inherent need of some students for organization and structure was found to be negatively related to academic performance. This finding suggests that the organization of statistics as perceived by some students may not always foster understanding, resulting in student confusion and lack of achievement. This infers that statistics instructors may need to put sufficient emphasis on the underlying composition of statistical ideas and the linking of statistical techniques that are presented in the classroom and in the textbook. The implications of these results are discussed in terms of current trends in the reform of the statistics curriculum and approaches that may improve the clarity of the underlying structure of statistics.
  • Author(s):
    Hanna, G.
    Editors:
    Vere-Jones, D., Carlyle, S., & Dawkins, B. P.
    Year:
    1991
    Abstract:
    The purpose of this paper is to investigate gender differences in achievement in statistics, making use of the Population A data of the Second International Mathematics Study (SIMS) conducted by the International Association for the evaluation of Educational Achievement (IEA). In IEA terms, Population A means all the students in the grade in which most students attain the age of 13.0 to 13.11 years by the middle of the school year.
  • Author(s):
    Cobanovic, K., Lozanov-Crvenkovic, Z., & Nikolic-Doric, E.
    Editors:
    Rossman, A., & Chance, B.
    Year:
    2006
    Abstract:
    Periodic regression is seldom included in syllabus of statistical courses. However, data following periodic or cyclic behavior are often encountered, especially in agriculture. Therefore, we think that this type of regression should be taught to students of agriculture, even in basic courses of statistics. In this paper we propose the way of teaching periodic regression through examples usually encountered in practice. The analysis of data will be based on the graphical interpretation, which would provide the visual display of the investigated problems as well.
  • Author(s):
    Morgan, L. A., & Morgan, F. W.
    Year:
    1984
    Abstract:
    Presents a set of classroom activities and a computer program that have been used to help students intuitively grasp, in a minimum of instructional time, such fundamental concepts as hypothesis testing, random sampling, statistical inference and p-values. The lesson shows students how statistical thinking and microcomputers can be used in problem-solving. (JN)
  • Author(s):
    McCallister, C.
    Year:
    1991
    Abstract:
    The Pearson product moment (P.M.) correlation ("r") and four of its most widely used variations--the phi, the rho, the biserial, and the point-biserial coefficients--are reviewed. Using small data sets between one and nine, the conditions under which the various forms are restricted in power and robustness are explored. Seven sample data sets were constructed to illustrate the effects of the following conditions: (1) perfect correlation; (2) restriction of range; (3) measurement error (one variable); (4) measurement error (two variables); (5) extreme scores (one outlier); (6) extreme scores (two outliers); and (7) heterogeneity of sample distribution (one variable). Conceptual and algebraic linkages among the coefficients, and teaching practices that will facilitate the assimilation of these concepts and that will allow a student to predict the practical effects of the conditions are discussed. Two data tables are included. Appendix A contains definitions, formulas, and examples of the coefficients, which are presented as reproductions of a Macintosh computer hypercard stack designed for instructional purposes. Appendix B contains sample spreadsheet calculations for the seven conditions studied. (SLD)
  • Author(s):
    San Martin, E.
    Editors:
    Rossman, A., & Chance, B.
    Year:
    2006
    Abstract:
    Piaget's constructivism and its further developments are used as the conceptual framework to relate, in the learning process, students' age with specific topics in probability and statistics. Such a perspective consists of opposing the notion of chance to that of a reversible sequence and, therefore, to causality. Nevertheless, when the contributions to probability theory developed during the 17th to the 19th centuries are considered, it can be noticed that the concept of chance is a characterization of "our ignorance of the causal chain." This fact motivates two questions which are discussed in this manuscript. The first one consists of understanding what constitutes the breaking-off between Cournot's viewpoint of probability and the traditional one. The second question consists of exploring what kind of probability and statistics teaching would be developed if the traditional viewpoint on chance and probability is considered.
  • Author(s):
    Peterson, I.
    Year:
    1991
    Abstract:
    A method that enables people to obtain the benefits of statistics and probability theory without the shortcomings of conventional methods because it is free of mathematical formulas and is easy to understand and use is described. A resampling technique called the "bootstrap" is discussed in terms of application and development. (KR)
  • Author(s):
    Gary L. Brase
    Year:
    2009
    Abstract:
    In an ongoing debate between two visions of statistical reasoning competency, ecological rationality proponents claim that pictorial representations help tap into the frequency coding mechanisms of the mind, whereas nested sets proponents argue that pictorial representations simply help one to appreciate general subset relationships. Advancing this knowledge into applied areas is hampered by this present disagreement. A series of experiments used Bayesian reasoning problems with different pictorial representations (Venn circles, iconic symbols and Venn circles with dots) to better understand influences on performance across these representation types. Results with various static and interactive presentations of pictures all indicate a consistent advantage for iconic representations. These results are more consistent with an ecological rationality view of how these pictorial representations achieve facilitation in statistical task performance and provide more specific guidance for applied uses.

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The CAUSE Research Group is supported in part by a member initiative grant from the American Statistical Association’s Section on Statistics and Data Science Education